翻訳と辞書 Words near each other ・ Proofing (baking technique) ・ Proofpoint ・ Proofpoint Systems, Inc ・ Proofpoint, Inc. ・ Proofreading ・ Proofreading (biology) ・ Proofs and Refutations ・ Proofs from THE BOOK ・ Proofs involving covariant derivatives ・ Proofs involving ordinary least squares ・ Proofs involving the addition of natural numbers ・ Proofs involving the Laplace–Beltrami operator ・ Proofs involving the Moore–Penrose pseudoinverse ・ Proofs of convergence of random variables ・ Proofs of elementary ring properties ・ Proofs of Fermat's little theorem ・ Proofs of Fermat's theorem on sums of two squares ・ Proofs of quadratic reciprocity ・ Proofs of trigonometric identities ・ Proofs related to chi-squared distribution ・ Prooftext ・ Proomphe ・ Proopiomelanocortin ・ Prooppia ・ Proornis ・ Proost (company) ・ Proozaena ・ PROP ・ Prop ・ ProP (transporter) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Proofs of Fermat's little theorem ： ウィキペディア英語版 Proofs of Fermat's little theorem This article collects together a variety of proofs of Fermat's little theorem, which states that :$a^p\; \backslash equiv\; a\; \backslash pmod\; p\; \backslash ,\backslash !$ for every prime number ''p'' and every integer ''a'' (see modular arithmetic). ==Simplifications== Some of the proofs of Fermat's little theorem given below depend on two simplifications. The first is that we may assume that ''a'' is in the range 0 ≤ ''a'' ≤ ''p'' − 1. This is a simple consequence of the laws of modular arithmetic; we are simply saying that we may first reduce ''a'' modulo ''p''. Secondly, it suffices to prove that :$a^\; \backslash equiv\; 1\; \backslash pmod\; p\; \backslash quad\; \backslash quad\; (X)$ for ''a'' in the range 1 ≤ ''a'' ≤ ''p'' − 1. Indeed, if (X) holds for such ''a'', multiplying both sides by ''a'' yields the original form of the theorem, :$a^p\; \backslash equiv\; a\; \backslash pmod\; p\; \backslash ,\backslash !$ On the other hand, if ''a'' equals zero, the theorem holds trivially. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Proofs of Fermat's little theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.